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The correct method would be
Find the LCM of the given numbers(which is 120 in this case)
Find the prime factorisation of the LCM
(120 = 2^3 *3 *5)
Now multiply the LCM by prime factors so that all the prime factors will have even multiplicities.
Answer = (2^3 * 3* 5) * (2*3*5)
= 2^4 * 3^2 * 5^2
= 3600
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